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1031023123032 = 233779211368171
BaseRepresentation
bin11110000000011011100…
…01000101101001011000
310122120020202220100210210
433000031301011221120
5113343013404414112
62105351231411120
7134326466642610
oct17001561055130
93576222810723
101031023123032
11368288746451
1214799b683aa0
13762c0605886
1437c8a6dba40
151bc450dcb3c
hexf00dc45a58

1031023123032 has 128 divisors (see below), whose sum is σ = 2997214617600. Its totient is φ = 289469980800.

The previous prime is 1031023123021. The next prime is 1031023123037. The reversal of 1031023123032 is 2303213201301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031023123037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2616307 + ... + 2984477.

It is an arithmetic number, because the mean of its divisors is an integer number (23415739200).

Almost surely, 21031023123032 is an apocalyptic number.

1031023123032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031023123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498607308800).

1031023123032 is an abundant number, since it is smaller than the sum of its proper divisors (1966191494568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031023123032 is a wasteful number, since it uses less digits than its factorization.

1031023123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368477 (or 368473 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1031023123032 its reverse (2303213201301), we get a palindrome (3334236324333).

The spelling of 1031023123032 in words is "one trillion, thirty-one billion, twenty-three million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 211 237 316 422 474 553 632 633 844 948 1106 1266 1477 1659 1688 1896 2212 2532 2954 3318 4424 4431 5064 5908 6636 8862 11816 13272 16669 17724 33338 35448 50007 66676 100014 116683 133352 200028 233366 350049 368171 400056 466732 700098 736342 933464 1104513 1400196 1472684 2209026 2577197 2800392 2945368 4418052 5154394 7731591 8836104 10308788 15463182 20617576 29085509 30926364 58171018 61852728 77684081 87256527 116342036 155368162 174513054 203598563 232684072 233052243 310736324 349026108 407197126 466104486 543788567 610795689 621472648 698052216 814394252 932208972 1087577134 1221591378 1628788504 1631365701 1864417944 2175154268 2443182756 3262731402 4350308536 4886365512 6137042399 6525462804 12274084798 13050925608 18411127197 24548169596 36822254394 42959296793 49096339192 73644508788 85918593586 128877890379 147289017576 171837187172 257755780758 343674374344 515511561516 1031023123032